Accepted Paper

Inserted: 26 nov 2010

Journal: Indiana University Mathematics Journal
Year: 2010

Abstract:

We provide an abstract framework for a symmetry result arising in a conjecture of G. W. Gibbons and we apply it to the fractional Laplace operator, to the elliptic operators with constant coefficients, to the quasilinear operators and to elliptic fully nonlinear operators with possible gradient dependence.

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• gibbons_frazionario-REV.pdf